What is the 5986th prime number?
The 5986th prime number is 59207. The next prime is 59209 (a gap of 2) and the one before is 59197.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5986th one is 59207.
- 2
59207 is prime because no prime up to ā59207 ā 243.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5986th prime is close to 5986 Ć ln(5986) ā 52061, and here it is 59207.
- 4
59207 is a twin prime: 59207 and 59209 are both prime.
Primes around the 5986th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5983 | 59167 | 8 |
| 5984 | 59183 | 16 |
| 5985 | 59197 | 14 |
| 5986 | 59207 | 10 |
| 5987 | 59209 | 2 |
| 5988 | 59219 | 10 |
| 5989 | 59221 | 2 |
Questions
What is the 5986th prime number?
59207.
Which prime number is 59207?
59207 is the 5986th prime number.
What is the sum of the first 5986 primes?
167,618,799.